56153968 has 60 divisors (see below), whose sum is σ = 124125240. Its totient is φ = 24530688.

The previous prime is 56153963. The next prime is 56154013. The reversal of 56153968 is 86935165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56153963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50830 + ... + 51922.

It is an arithmetic number, because the mean of its divisors is an integer number (2068754).

Almost surely, 2^56153968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56153968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62062620).

56153968 is an abundant number, since it is smaller than the sum of its proper divisors (67971272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56153968 is a wasteful number, since it uses less digits than its factorization.

56153968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1127 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The square root of 56153968 is about 7493.5951318443. The cubic root of 56153968 is about 382.9365468759.

It can be divided in two parts, 56153 and 968, that added together give a square (57121 = 239²).

The spelling of 56153968 in words is "fifty-six million, one hundred fifty-three thousand, nine hundred sixty-eight".